Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.5" was replaced by "(75/10)".

Step  1  :

            15
 Simplify   ——
            2 

Equation at the end of step  1  :

           15
  (62) +  (——)2)
           2 

Step  2  :

 2.1     15 = 3•5

(15)² = (3•5)² = 3² • 5²

Equation at the end of step  2  :

          (32•52)
  (62) +  ———————
            22   

Step  3  :

 3.1     6 = 2•3

(6)² = (2•3)² = 2² • 3²

Equation at the end of step  3  :

             (32•52)
  (22•32) +  ———————
               22   

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  2²  as the denominator :

                (22•32)     (22•32) • 22
     (22•32) =  ———————  =  ————————————
                   1             22     

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 (22•32) • 4 + 225     369
 —————————————————  =  ———
         4              4 

Final result :

  369            
  ——— = 92.25000 
   4